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Finding the Fourth Proportional to 12,589.47, 17,373.17 and 6,846.78

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Solution

The fourth proportional to 12,589.47, 17,373.17 and 6,846.78 is: 9,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.47 : 17,373.17 = 6,846.78 : x
  2. Step 2: Convert to fraction form
    12,589.47/17,373.17 = 6,846.78/x
  3. Step 3: Cross multiply
    12,589.47x = 17,373.17 × 6,846.78
  4. Step 4: Simplify right side
    12,589.47x = 118,950,272.89
  5. Step 5: Solve for x
    x = 118,950,272.89/12,589.47
  6. Step 6: Final answer
    x = 9,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.